#4289 ⟨a, b | ababaabab=ba

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  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1
1
#RuleProof
1. ad ⇒ c2 [11]
2. ac2d ⇒ ca [19]
3. c2d2 ⇒ dc [20]
4. (c2d)2 ⇒ da [13]
5. ac2b ⇒ c [17]
6. c2dc2b ⇒ d [16]
7. ba ⇒ d [3]
8. bc ⇒ dc2b [18]
9. bd ⇒ d3c2b [14]
# ab:ababaabab=ba reversed:acd/b aabab=c,ba=d morph:5/0,2/0
ad=cc
accd=ca
ccdd=dc
ccdccd=da
accb=c
ccdccb=d
ba=d
bc=dccb
bd=dddccb